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3 years ago

Systems w/ substitution y=4x+6 & y=-5+21

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

So basically what you would is u would plug the first equation into the second equation. -5x+21=4x+6
-21 -21
-5x=4x-15
-4x -4x
-9x=-15
-9x/-9=15/-9
x=-1.66
then you would plug x back into the equation to get your y value
y=4(-1.66)+6
y=6.64+6
y=12.64

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Write the expression using rational exponents. Then simplify and convert back to radical notation.

ioda

Answer:

The radical notation is $3x\sqrt[3]{y^2z}$

Step-by-step explanation:

Given

$\sqrt[3]{27 x^{3} y^{2} z}$

Step 1 of 1

Write the expression using rational exponents.

$\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}$

$=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}$

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

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3 years ago

What is the distance between points v (3,3) and w (-2,-3) round to the nearest tenth if necessary

Vinil7 [7]

Answer:

7.81 u

Step-by-step explanation:

<u>Given :- </u>

Two points (3,3) and (-2,-3) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

$:\implies$ D = √{(x2-x1)² + (y2-y1)²}

$:\implies$ D =√[ (3+2)² +(-3-3)²]

$:\implies$ D =√[ 5² +6²]

$:\implies$ D =√[ 25 +36]

$:\implies$ D = 61

$:\implies$ D = 7.81

<h3>Hence the distance between the two points is 7.81 units .</h3>

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3 years ago

One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printin

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3 years ago

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The high for a winter day in Sitka,

m_a_m_a [10]

Answer:

The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:

T ≤ -10°C

And the minimum temperature will be -25°C, then we must have that:

T ≥ -25°C

if we use both conditions, we will have:

-25°C ≤ T ≤ -10°C

We can write this range:

[-25°C, -10°C]

Where the [] symbols mean that the extremes are possible temperatures.

The length of the range will be:

-10°C - 25°C = 15°C.

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3 years ago

Are the numbers (2,3)(1,5)(2,7) a function ?

Arturiano [62]

Firstly they are not numbers, they are ordered pairs or points with a form $(x,f(x))$ yes they probably lie on a function graph but that would be rather impossible to find out. The function may be linear, exponential, logarithmic etc. we can't tell. All we can tell is that if these ordered pairs $P_{1,2,3}$ lie on a function graph $P_{1,2,3}\in G_f$ where $G_f=\{(x,f(x)):\forall x\in D_f\wedge f(x)\in T_f\}$ where D is definition set of function defined x's and T a transformation set of f(x)'s for this function. So yes they may lie on some lambda function but they themselves are nothing but an ordered pairs with no meaningful connection.

Hope this helps.

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3 years ago

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